
Digital Library of the
European Council for Modelling and Simulation 
Title: 
Power Functions Of Statistical Criteria Defined By Bans 
Authors: 
Alexander A. Grusho, Nick A. Grusho, Elena E. Timonina 
Published in: 
(2015).ECMS 2015 Proceedings edited
by: Valeri M. Mladenov, Grisha Spasov, Petia Georgieva, Galidiya Petrova, European
Council for Modeling and Simulation. doi:10.7148/2015 ISBN:
9780993244001 29^{th}
European Conference on Modelling and Simulation, Albena (Varna), Bulgaria,
May 26^{th} – 29^{th},
2015 
Citation
format: 
Alexander A. Grusho,
Nick A. Grusho, Elena E. Timonina
(2015). Power Functions Of Statistical Criteria Defined By Bans, ECMS 2015
Proceedings edited by: Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova European Council for Modeling
and Simulation. doi:10.7148/20150617 
DOI: 
http://dx.doi.org/10.7148/20150617 
Abstract: 
The basic problem for developers of
monitoring systems for technological processes is to exclude the false
alarms. False alarms generate the interruption of technological process and
lead to the manual analysis of the reasons of the wrong system behavior. In the paper it is offered to use the
statistical techniques with probabilities of false alarms equal to zero. This
class of statistical decisions is based on concept of bans of probability
measures in a finite space. Conditions under which powers of statistical
criteria accept value 1 on a finite step are found. These conditions are
formulated in terms of supports of probability measures. 
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